I wouldn't have it done abroad. There are terrific surgeons here and I've heard a few awful stories about surgery going wrong abroad. What if you need some follow-up?
I had a facelift a couple of decades ago and didn't tell anyone apart from immediate family. I stayed out of sight for a couple of weeks, thoroughly bandaged but after that I could face the great outdoors. People didn't notice, as such, but a few said I was looking 'well', which is how it should be. If you look very different, the surgeon has done it wrong. Mine said I'd look like myself but 'tidier', which was exactly what I wanted. Could do with another go at it now though...!